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Finding the Third Proportional to 25,083 and 58,758.75

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Solution

The third proportional to 25,083 and 58,758.75 is: 137,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083 : 58,758.75 = 58,758.75 : x
  2. Step 2: Convert to fraction form
    25,083/58,758.75 = 58,758.75/x
  3. Step 3: Cross multiply
    25,083x = 58,758.75 × 58,758.75
  4. Step 4: Simplify right side
    25,083x = 3,452,590,701.56
  5. Step 5: Solve for x
    x = 3,452,590,701.56/25,083
  6. Step 6: Final answer
    x = 137,646.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.